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Simplifying 4(x + -2) + -5(-2 + -6) = 28 Reorder the terms: 4(-2 + x) + -5(-2 + -6) = 28 (-2 * 4 + x * 4) + -5(-2 + -6) = 28 (-8 + 4x) + -5(-2 + -6) = 28 Combine like terms: -2 + -6 = -8 -8 + 4x + -5(-8) = 28 Multiply -5 * -8 -8 + 4x + 40 = 28 Reorder the terms: -8 + 40 + 4x = 28 Combine like terms: -8 + 40 = 32 32 + 4x = 28 Solving 32 + 4x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4x = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 28 + -32 4x = 28 + -32 Combine like terms: 28 + -32 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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